The life of a battery used in a cardiac pacemaker is assumed to be normally distributed. A random sample of 10 batteries is subject to an accelerated life test by running them continuously at an elevated temperature until failure, and the following lives are obtained.25.5, 26.1, 26.8, 23.2, 24.2, 28.4, 25.0, 27.8, 27.3, 25.7 (hour).a) Construct a 95% two-sided confidence interval on mean life in the accelerated test.(i) What is the lower value of the two-sided confidence interval? (ii) What is the higher value of the two-sided confidence interval?b) Construct a 99% lower one-sided confidence interval on mean battery life.c) Why would the manufacturer be interested in a one-sided confidence interval? Each question (indexed by Arabic number, e.g., Q1, Q2,...) may have multiple sub-questions (indexed bylower case alphabet, e.g., a, b, ..). To provide maximum partial credits, such question/sub-question isbroken down into many sequential questions. Such small questions are indexed by the Roman countingmethod with lower cases: i, ii, ...Q1. The life of a battery used in a cardiac pacemaker is assumed to be normally distributed. Arandom sample of 10 batteries is subject to an accelerated life test by running them continuously atan elevated temperature until failure, and the following lives are obtained.25.5, 26.1, 26.8, 23.2, 24.2, 28.4, 25.0, 27.8, 27.3, 25.7 (hour).a) Construct a 95% two-sided confidence interval on mean life in the accelerated test.(i) What is the lower value of the two-sided confidence interval?(ii) What is the higher value of the two-sided confidence interval?b) Construct a 99% lower one-sided confidence interval on mean battery life.c) Why would the manufacturer be interested in a one-sided confidence interval?

Random sample of 10 batteries given : n= 10 We have to calculate 95% confidence interval for two…

Answered: Each question (indexed by Arabic…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The life of a battery used in a cardiac pacemaker is assumed to be normally distributed. A random sample of 10 batteries is subject to an accelerated life test by running them continuously at an elevated temperature until failure, and the following lives are obtained. 25.5, 26.1, 26.8, 23.2, 24.2, 28.4, 25.0, 27.8, 27.3, 25.7 (hour). a) Construct a 95% two-sided confidence interval on mean life in the accelerated test. (i) What is the lower value of the two-sided confidence interval? (ii) What is the higher value of the two-sided confidence interval? b) Construct a 99% lower one-sided confidence interval on mean battery life. c) Why would the manufacturer be interested in a one-sided confidence interval?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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